If the sum of the mean and the variance of a binomial distribution for 5 trials is 1 8 , then p =

Step-by-step solution

(B) We have n=5 and n p+n p q=1.85 p+5 p q=1.8 5 p(1+q)=1.8 5 p [1+(1- p )]=1.8 5 p (2- p )=1.8 5 p²-10 p+1.8=0 5 p²-p-9 p+1.8=0 p(5 p-1)-1.8(5 p-1)=0 (p-1.8)(59-1)=0 p= 1 5 , 1.8 (impossible) p =0.2